Number System Questions With Solutions Q No 41 to Q No 60

In this post, you will get some important Number System Questions with Solutions Q No 41 To Q No 60. Questions will be solved soon.

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Ques No 41:

What is the unit digit of N, if N = (289)⁵ x (587)⁷ x (1156)⁹ x (17)¹⁵

Options:

A. 8

B. 5

C. 3

D. 6

Solution:

Ques No 42:

The numbers 1 to 29 are written side by side as follows 1234567891011……2829. If the number is divided by 9, then what is the remainder?

Options:

A. 0

B. 1

C. 2

D. 3

Solution:

Ques No 43:

The smallest integral value of x, for which   is an integer is

Options:

A. 1

B. -1

C. 7

D. -7

Solution:

Ques No 44:

The sum of the digits of two digit number is 11, if the digits are reversed the number decreases by 45 The number is

Options:

A. 38

B. 68

C. 74

D. 83

Solution:

Ques No 45:

If a² – b² = 13 where a and b natural numbers, then value of a is

Options:

A. 6

B. 7

C. 8

D. 9

Solution:

Ques No 46:

If 56² – 49² = 7p, then p is equal is

Options:

A. 115

B. 95

C. 105

D. 104

Solution:

Ques No 47:

When 75% of a two-digit number is added to it, the digits of the number are reversed. Find the ratio of the unit’s digit to the ten’s digit in the original number

Options:

A. 1:2

B. 1:4

C. 2:1

D. 3:2

Solution:

Ques No 48:

How many zeroes will be there in the expansion of the expression 1¹×2²×3³×4⁴……..×100¹⁰⁰?

Options:

A. 1200

B. 1232

C. 1300

D. 1296

Solution:

Ques No 49:

The number obtained by interchanging the two digits of a two digit number is less than the original number by 27. If the difference between the two digits of the number is 3, what is the original number?

Options:

A. 74

B. 63

C. 85

D. Can’t be determined

Solution:

Ques No 50:

If x is a positive integer such that 2x + 12 is perfectly divisible by ‘x’, then the number of possible values of ‘x’ is

Options:

A. 2

B. 5

C. 6

D. 12

Solution:

Ques No 51:

If A =  , B = , C = (0.3)², D = (-1.2)², then 

Options:

A. A > B > C > D

B. D > A > B > C

C. D > B > C > A

D. D > C > A > B

Solution:

Ques No 52:

The unit digit in the expression (36²³⁴)(33⁵¹²)(39¹⁸⁰)(54²⁹)–(25¹²³)(31⁵¹²) will be

Options:

A. 8

B. 0

C. 6

D. 5

Solution:

Ques No 53:

Find the value of x in 

Options:

A. 1

B. 3

C. 6

D. 12

Solution:

Ques No 54:

xy is a number that is divided by ab where xy < ab and gives a result 0. Xyxyxy. . . then ab result

Options:

A. 11

B. 33

C. 99

D. 66

Solution:

Ques No 55:

V is product of first 41 natural numbers. A = V + 1. The number of primes among A + 1, A + 2, A + 3, A + 4………………A + 39, A + 40 is

Options:

A. 1

B. 2

C. 3

D. 0

Solution:

Ques No 56:

If n is integer such that n x n = n + n, then the number of such number n, is

Options:

A. 0

B. 1

C. 2

D. 3

Solution:

Ques No 57:

Given that a, b are odd and c, d are even, then

Options:

A. a² – b² + c² – d² is always divisible by 4

B. abc + bcd + cda + dab is always divisible by 4

C. a⁴ + b⁴ + c³ + d³ + c²b + a²b is always odd

D. a + 2b + 3c + 4d is odd

Solution:

Ques No 58:

A positive number whose reciprocal equals one less than the number, is

Options:

A. 

B. 

C. 

D. 

Solution:

Ques No 59:

Which is one of the numbers listed below is not a divisor of the number N = (2³⁰ – 1), is equal to

Options:

A. 2⁵ – 1

B. 2⁵ + 1

C. 2⁶ – 1

D. 2¹⁰ + 1

Solution:

Ques No 60:

The remainder when (x⁵¹ + 51) is divided by (x + 1), is:

Options:

A. 0

B. 1

C. 51

D. 50

Solution: